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Finding the Fourth Proportional to 70.90, 105.62 and 67.38

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Solution

The fourth proportional to 70.90, 105.62 and 67.38 is: 100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.90 : 105.62 = 67.38 : x
  2. Step 2: Convert to fraction form
    70.90/105.62 = 67.38/x
  3. Step 3: Cross multiply
    70.90x = 105.62 × 67.38
  4. Step 4: Simplify right side
    70.90x = 7,116.68
  5. Step 5: Solve for x
    x = 7,116.68/70.90
  6. Step 6: Final answer
    x = 100.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.